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alex41 [277]
3 years ago
13

Which of the following is the coordinate for the image of point m(3,-7) after a 90 degree clockwise rotation

Mathematics
1 answer:
BigorU [14]3 years ago
3 0

Answer:

(- 7, - 3 )

Step-by-step explanation:

Under a clockwise rotation about the origin of 90°

a point (x, y ) → (y, - x ), thus

(3, - 7 ) → (- 7, - 3 )

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4 0
3 years ago
Read 2 more answers
Solve by elimination:
Pie

Answer:

B (5, 13)

Step-by-step explanation:

9x + 4y = 97

9x + 6y = 123

To solve by elimination, we want to <em>eliminate</em> a variable. To do this, we must make one variable cancel out.

First, we can see that both equations have 9x. To cancel out x, we must make <em>one</em> of the 9x's <em>negative</em>. To do this, multiply <em>each term</em> in the equation by -1.

-1(9x + 6y = 123)

-9x - 6y = -123

This is one of your equations. Set it up with your other given equation.

9x + 4y = 97

-9x - 6y = -123

Imagine this is one equation. Since every term is negative, you will be subtracting each term.

9x + 4y = 97

-9x - 6y = -123

___________

0x -2y = -26

-2y = -26

To isolate y further, divide both sides by -2.

y = 13

Now, to find x, plug y back into one of the original equations.

9x + 4(13) = 97

Multiply.

9x + 52 = 97

Subtract.

9x = 45

Divide.

x = 5

Check your answer by plugging both variables into the equation you have not used yet.

-9(5) - 6(13) = -123

-45 - 78 = -123

-123 = -123

Your answer is correct!

(5, 13)

Hope this helps!

6 0
3 years ago
What is the equation of the line that passes through the point (3, 4) and has a slope<br> of - 2/3?
fgiga [73]

Answer: y= - 2/3x+6

Step-by-step explanation:

Just plug in values into this equation (slope intercept form)

y=mx+b

3 is x value

4 is y value

m is the slope which is - 2/3

So after you plug in the values, solve for b ("b" is the y intercept):

4=-2/3(3)+b

4=-2+b

b=6

Then add in the b value into your equation and you will get y= - 2/3x+6

8 0
2 years ago
Show that ifAB=IandAC=I, then it follows that B=C. Explain how this proves thatthe inverse of the matrix A is unique.
Anna007 [38]

Answer with Step-by-step explanation:

Suppose that a matrix has two inverses B and C

It is given that AB=I and AC=I

We have to prove that Inverse of matrix is unique

It means B=C

We know that

B=BI where I is identity matrix of any order in which number of rows is equal to number of columns of matrix B.

B=B(AC)

B=(BA)C

Using associative property of matrix

A (BC)=(AB)C

B=IC

Using BA=I

We know that C=IC

Therefore, B=C

Hence, Matrix A has unique inverse .

6 0
2 years ago
The probability that John receives junk mail is 11 percent. If he receives 94 pieces of mail in a week, about how many of them c
SVETLANKA909090 [29]

Answer:

10 (10.34 rounded down)

Step-by-step explanation:

11% is the same as .11

Multiply by 94 for your answer.

.11 x 94 = 10.34

10 pieces

5 0
3 years ago
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